JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

Let

f

be a differentiable function satisfying

[f(x)]^n=f(n x)

for all

x \in R

.

Then,

f^{\prime}(x) f(n x)

View answer and explanation

Correct option: C

f(x) f^{\prime}(n x)

Option C (

f(x) f^{\prime}(n x)

) is correct because it is derived by differentiating the given equation and manipulating the result.

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x

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[x]

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\frac{{dy}}{{dx}}

\frac{d}{d x} \sin ^{-1}\left(3 x-4 x^{3}\right)

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